Introduction to Optimization on Smooth Manifolds

Informationen zum Autor Nicolas Boumal is Assistant Professor of Mathematics at the École Polytechnique Fédérale de Lausanne (EPFL) in Switzerland, and an Associate Editor of the journal Mathematical Programming. His current research focuses on optimization, statistical estimation and numerical analysis. Over the course of his career, Boumal has contributed to several modern theoretical advances in Riemannian optimization. He is a lead-developer of the award-winning toolbox Manopt, which facilitates experimentation with optimization on manifolds. Klappentext "This is a modern invitation to algorithms for optimization with geometry for researchers and advanced undergraduate and graduate students in applied mathematics, computer science and engineering. Readers will appreciate the approachable, yet proof-based, introduction to differential geometry, which is often restricted to pure mathematics curricula"-- Inhaltsverzeichnis Notation; 1. Introduction; 2. Simple examples; 3. Embedded geometry: first order; 4. First-order optimization algorithms; 5. Embedded geometry: second order; 6. Second-order optimization algorithms; 7. Embedded submanifolds: examples; 8. General manifolds; 9. Quotient manifolds; 10. Additional tools; 11. Geodesic convexity; References; Index.

Product details

• Authors: Nicolas Boumal, Nicolas (Ecole Polytechnique Federale De L Boumal, Nicolas (Ecole Polytechnique Federale de Lausanne) Boumal
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 01.02.2023
• EAN: 9781009166157
• ISBN: 978-1-0-0916615-7
• No. of pages: 400
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > IT; Optimization, MATHEMATICS / General, pattern recognition, Differential & Riemannian geometry, Differential and Riemannian geometry